\(-\dfrac{2}{3}\left(\dfrac{3}{2}-x\right)=\dfrac{3}{4}\left(\dfrac{1}{6}-\dfrac{2}{9}\right)\)
\(< =>-1+\dfrac{2x}{3}=\dfrac{3}{4}\left(\dfrac{3-4}{18}\right)< =>-1+\dfrac{2x}{3}=\dfrac{3}{4}.\dfrac{-1}{18}\)
\(< =>-1+\dfrac{2x}{3}=-\dfrac{1}{24}=>\dfrac{2x}{3}=-\dfrac{1}{24}+1\)
\(< =>\dfrac{2x}{3}=\dfrac{23}{24}=>48x=69=>x=\dfrac{69}{48}=\dfrac{23}{16}\)
Ta có: \(-\dfrac{2}{3}\left(\dfrac{3}{2}-x\right)=\dfrac{3}{4}\cdot\left(\dfrac{1}{6}-\dfrac{2}{9}\right)\)
\(\Leftrightarrow-1+\dfrac{2}{3}x=\dfrac{1}{8}-\dfrac{1}{6}=\dfrac{-1}{24}\)
\(\Leftrightarrow\dfrac{2}{3}x=\dfrac{-1}{24}+1=\dfrac{23}{24}\)
hay \(x=\dfrac{23}{16}\)